ALGEBRA 2 Functions/Relations/Polynomial Operations 1A, 1B, 1C, 1D, 1E, 1F, 1G,2D, 7I, 7B, 7C

Transcription

1 Unit 1 Unit 2 1) Domain/Range - Multiple Representations Interval Notation/Set Notation/Inequalities 2) Function notation, composite functions 3) Operations with Functions - Incude add/sub/multiply polynomials, division by monomial (Rules for combining like terms, add exponents when multiplying) 4) Long Division 5) Synthetic Division/Review 6) Test Suggest no calculator during 1st 2 Units - skills checks at beginning of period to review fractions/decimals/linear stuff/zero expoents/negative exponents ALGEBRA 2 Functions/Relations/Polynomial Operations 1A, 1B, 1C, 1D, 1E, 1F, 1G,2D, 7I, 7B, 7C Absolute Value Functions, Equations, and Inequalities 1A, 1B, 1C, 1D, 1E, 1F, 1G, 2A, 6C, 6D, 6E, 6F 1) Solve Absolute Value Equations/Inequalities 2) Formulate/Solve Absolute Value equations/inequalities 3) Introduce families and Graph absolute value functions with transformations of a, b, c, d Domain/Range Graph Inequalities 4) Review 5) Test Add 2x2 systems to skills checks 2D. Composition of Functions 7I: Domain/range, Int. Not, set not, inequalities 7B: add/sub/multiply polynomials, Divide by monomial 7C: Long division, synthetic division R, 2A: Graph a, b, c, d and domain/range, symmetry, max, min 6D: Formulate AV equations R, 6E: Solve AV = 6F: Solve AV inequalities 6C: Analyze a, b, c, d 7I: domain/range 1C: paper/pencil, graph to solve 1D: multiple reps 1B: formulate/reasonableness 1A: apply to everyday 6 Days 5 DAYS

2 Unit 3 1) 3x3 Substitution, Word Problems to formulate 2) 3x3 regular Elimination, Word Problems 3) Matrices and 3x3 Gaussian Elimination 4) Linear Programming 5) LInear Programming 6) Solve 3x3 by inverse matrix on Calculator Review 7) Test Systems of Linear Equations and Inequalities 1A, 1B, 1C, 1D, 1E, 1F, 1G,3A, 3B, 3E, 3F, 3G R, 3A: Formulate 3x3 Systems R,3B: Solve 3x3 by elim, sub, matrices on calc, Gaussian elimination 3E: Formulate a system of at least 2 linear inequalities 3F: Solve systems of 2 or more linear inequalities 3G: Determine possible solutions of 2 or more linear inequalities 7 DAYS Factoring and Solving Quadratic Equations by Factoring 1A, 1B, 1C, 1D, 1E, 1F, 1G,4F, 7B, 7C, 7D, 7E, 7G, 7H 7 DAYS Unit 4 1) Factor GCF, Difference of squares and solve quadratic equations by these methods 2) Factor trinomials/solve 3) Factor trinomials/solve 4) Difference of Cubes/4 terms/ others mixed to factor 5) Factor/Solve mixed equations with degree 3 and 4 6) Review 7) Test R, 7E: Factoring by grouping, cubes, degree = 3 & 4 7D: Linear factors, degree = 3 & 4 4F: Solve Quadratic Equations

3 Unit 5 36 Days - 1st Semester Rational Functions and Equations 1A, 1B, 1C, 1D, 1E, 1F, 1G,2A, 6G, 6H, 6I, 6J, 6K, 6L, 7F 1) Inverse Variation/formulate/solve 2) Simplify, mul/divide Rational Expressions (restrictions) 3) Add/Sub with common denominator/complex 4) Add/Sub without common denominator/complex 5) Solve rational equations 6) Formulate/solve rational equations 7) Graph by Ratey, no oblique asymptote 8) Graph by Ratey, hole/oblique asymptote 9) Graph y = 1/x by transformation with a, b, c, d 10) Review 11) Test Square Root Functions and Equations/Rational Exponents and Equations 1A, 1B, 1C, 1D, 1E, 1F, 1G,2A, 2B, 2C, 4C, 4E, 4F, 4G, 7G, 7H 6G: Graph y = 1/x, a, b, c, d R2A: domain,range, symmetry, intercepts 6H: Formulate/solve real world rational equations R, 6I: Solve Rational Equations with real solutions 6J; Reasonableness of solutions 6k: Asymptotic restrictions with domain/range R, 6L: Formulate/solve equations involving inverse variation R7F: add/sub/multiply/divide rational expressions of deg = 1&2 11 DAYS 9 DAYS Unit 6 1) simplifying radicals 2) Mul/Div, add/sub radicals 3) Mul/Div, add/sub binomial radicals 4) Solve radical equations 5) Graph y = x, a, b, c, d. Finding square root function with technology 6) Rational exponents/operations Rewrite radicals 7) Solve equations involving rational exponents 8) Review 9) Test Review solving quadratics by factoring in this unit and the beginning of next un it 7G: rewrite rational exponents that contain variables to equivalent form R, 7H: Solve equations involving rational exponents R2A: Graph y = x, domain, range, intercepts R4C: Effects of a, b, c, d, on y = x 4E: Formulate radical equations with technology R4F: Solve radical equations 4G: Identify extraneous solutions

4 Unit 7 Quadratic Relations, Equations, and Inequalities 1A, 1B, 1C, 1D, 1E, 1F, 1G,2B, 2C, 2D, 3A, 3C, 3D, 4A, 4B, 4D, 4E, 4F, 4H, 7A, 7D A) 1) Graph/write linear inverses and intro quad function as inverse of x. Composition to prove. 2) Complex #s, Solve by Square roots 3) Solve by Quadratic Formula 4) Solve Quadratic Inequalities (??depends on how - algebraically or graphically) 5) Formulate/Solve Linear/Quadratic System and factor cubes/solve 6) Review/Test B) 1) Write Quadratic Equation from 3 ponts ad by quadratic regression 2) Write equation/graph from a, h, k and translate between standard and vertex 3) Parabola from focus, directrix, vertex, etc. 4) Review 5) Test Cubic and Cube Root Functions and Equations 1A, 1B, 1C, 1D, 1E, 1F, 1G,2A, 2B, 2C, 2D, 6A, 6B, 7H R, 2C: Inverses Quad/Sq root 2B: Write/graph inverses 3A,C: Formulate/solve lin/quad 3D: Reasonableness of solution 4A: Write quad from 3 points R, 4B: Write equation of parabola from vertex, focus, directrix, axis of symmetry, direction of opening 4D: Translate from standard to vertex 4E: formulate quadratic with technology R, 4F: Solve quadratic equations 4H; Solve quadratic inequalities 7A: add/sub/mul complex numbers 7D: linear factors of poly of deg = 3&4 2D:; Composition to prove inverses 11 DAYS 7 DAYS Unit 8 1) graph cubic, Increase/Dec, end behavior, 3rd differences 2) Factor cubic to find zeros, write from roots, relative max/min, multiplicity?, Max volume, synthetic division to find roots/evaluate polynomial 3) Graph cube root/ max/min of an interval, prove inverse of cubic 4) Graph cube root, a, b, c, d, 5) Solve cubic equations 6) Review 7) Test R, 2A: Graph cubic and cube root, domain/range, interval notation, max/min on interval 2B: graph/write inverses R,2C: Inverses of each other 2D: Composition of functions to prove inverses 6A: effects of a, b, c, d, on both 6B: Solve cubic equations with real roots 7H; Rational exponent equations 7D: Linear factors?

5 Exponential Functions and Equations 1A, 1B, 1C, 1D, 1E, 1F, 1G,2A, 5B, 5D, 7H 6 DAYS Unit 9 1) Graph exponential, max/min on an interval, y value, growth/decay, real world growth/decay, write a function 2) Transformational graphing and application on calculator (regexp) 3) e, Transformation, compound interest, real world application 4) Recursive exponential functions 5) Review 6) Test 1C) Technology R, 2A: graph y = b x b is 2, 10, e, domain/range/intercepts/asymptote 5B: formulate exponential equation from real world (recursive notation) R, 5D: Solve exponential equations in the form y = ab x R, 7H: Solve exponential equations involving rational exponents 5A: effects of a, b, c, d, Unit 10 Exponential and Logaritmic Functions and Equations 1A, 1B, 1C, 1D, 1E, 1F, 1G,2A, 2B, 2C, 5A, 5B, 5C, 5D, 5E 1) Define logs and show as inverse of exponential, graph logs 2) log exp, exp log 3) Properties of logs, simplify, expand, condense, change of base Applications - Ph scale 4) Transformations of log by a, c, d. Application of profits 5) Transformation of ln, Inverse of y = e^x. Applications 6) exp/log equations 7) Natural log/simplify/solve/solve equations 8) Review 9) Test R, 2A: Graph log, b = 2, 10, e. domain/range, asymptotes, max/min on interval 2B: exp and log are inverses 2C: " R, 5A: effects on graph of a, c, d, 5B: Formulate log equation from real world 5C: log exp, exp log R, 5D: Solve single log equations wit real solutions 5E: reasonableness of solutions 9 DAYS

6 Linear, Quadratic, and Exponential Data Models 1A, 1B, 1C, 1D, 1E, 1F, 1G, 8A,8B, 8C 5 DAYS Unit 11 1) Analyze all 3 with choices Use 1st and 2nd differences 2) Calculator regression 3) Make predicitons/judgements 4) Review 5) Test 8A: analyze data lin/quad/exp 8b: regression on calculator to write each R, 8C: Predict from line/quad/exp models 1F: anaylyze mathematical models 48 DAYS - 2nd Semester Exploring a Business Venture 1A, 1B, 1C, 1D, 1E, 1F, 1G, 3A, 3B, 3C, 3E, 3G, 4E, 4F, 5B, 5D, 6L, 8C DAYS Extra Lesson